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相关论文: High-energy gravitational scattering and the gener…

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We review the description of classical gravitational scatterings of two compact objects by means of the eikonal framework. This encodes via scattering amplitudes both the motion of the bodies and the gravitational-wave signals that such…

广义相对论与量子宇宙学 · 物理学 2025-02-07 Carlo Heissenberg , Rodolfo Russo

We extend previous work concerning rest-frame partial-wave mixing in Hamiltonian effective field theory to both elongated and moving systems, where two particles are in a periodic elongated cube or have nonzero total momentum, respectively.…

高能物理 - 格点 · 物理学 2021-05-26 Yan Li , Jia-jun Wu , Derek B. Leinweber , Anthony W. Thomas

We consider the two-body problem in post-Newtonian approximations of general relativity. We report the recent results concerning the equations of motion, and the associated Lagrangian formulation, of compact binary systems, at the third…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Luc Blanchet

We describe an approach to incorporating the physical effects of the absorption of energy by the event horizon of black holes in the scattering amplitudes based post-Minkowskian, point-particle effective description. Absorptive dynamics are…

高能物理 - 理论 · 物理学 2024-03-05 Callum R. T. Jones , Michael S. Ruf

We revisit the problem of the equations of motion of a system of $N$ self-interacting massive particles (without spins) in the first post-Minkowskian (1PM) approximation of general relativity. We write the equations of motion, gravitational…

广义相对论与量子宇宙学 · 物理学 2018-10-17 Luc Blanchet , Athanassios S. Fokas

The effective one-body theories, introduced by Buonanno and Damour, are novel approaches to constructing a gravitational waveform template. By taking a gauge in which $\psi_{1}^{B}$ and $\psi_{3}^{B}$ vanish, we find a decoupled equation…

广义相对论与量子宇宙学 · 物理学 2023-07-28 Jiliang Jing , Sheng Long , Weike Deng , Mengjie Wang , Jieci Wang

We extend the systematic calculation of an approximately relativistic Hamiltonian for centre of mass and internal dynamics of an electromagnetically bound two-particle system by Sonnleitner and Barnett [1] to the case including a weak…

量子物理 · 物理学 2019-11-27 Philip K. Schwartz , Domenico Giulini

Using scattering amplitudes, we obtain the potential contributions to conservative binary dynamics in general relativity at fourth post-Minkowskian order, ${\cal O}(G^4)$. As in previous lower-order calculations, we harness powerful tools…

高能物理 - 理论 · 物理学 2021-05-20 Zvi Bern , Julio Parra-Martinez , Radu Roiban , Michael S. Ruf , Chia-Hsien Shen , Mikhail P. Solon , Mao Zeng

We derive the classical gravitational radiation from an aligned spin binary black hole on \textit{closed} orbits, using a dictionary built from the 5-point QFT scattering amplitude of two massive particles exchanging and emitting a…

高能物理 - 理论 · 物理学 2022-01-10 Yilber Fabian Bautista , Nils Siemonsen

We consider an isolated system made of two pointlike bodies interacting at a distance in the nonradiative approximation. Our framework is the covariant and a priori Hamiltonian formalism of "predictive relativistic mechanics", founded on…

数学物理 · 物理学 2011-10-10 Philippe Droz-Vincent

We compute the gravitational impulse for two classical massive scalars in the ultrarelativistic limit to all orders in Newton's constant $G_N$ at fixed $G_N s/m b$ to $O(m^4/s^2)$. By computing the 4 and 5-point scattering amplitudes in the…

高能物理 - 理论 · 物理学 2026-05-19 Michael Saavedra

Resonances are of particular importance to the scattering of composite particles in quantum mechanics. We build an effective field theory for two-body scattering which includes a low-energy $S$-wave resonance. Our starting point is the most…

核理论 · 物理学 2021-05-28 J. Balal Habashi , S. Sen , S. Fleming , U. van Kolck

We use the results of Maher {\em et al.\/} (preceding paper) to construct the matrix of $j=0$ partial-wave two-body and $2\rightarrow3$ scattering amplitudes for the scattering of longitudinally polarized gauge bosons $W_L^\pm$, $Z_L$ and…

高能物理 - 唯象学 · 物理学 2009-10-22 Loyal Durand , Peter N. Maher , Kurt Riesselmann

This work provides, at lower order, general analytical solutions for the orbital separation, merging time, and orbital frequency of binary systems emitting gravitational waves while being submitted to mass variations. Specific features,…

广义相对论与量子宇宙学 · 物理学 2023-06-16 Baptiste Blachier , Aurélien Barrau , Killian Martineau , Cyril Renevey

We develop a general formalism for computing classical observables for relativistic scattering of spinning particles, directly from on-shell amplitudes. We then apply this formalism to minimally coupled Einstein-gravity amplitudes for the…

高能物理 - 理论 · 物理学 2020-01-29 Ben Maybee , Donal O'Connell , Justin Vines

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach…

高能物理 - 理论 · 物理学 2020-11-11 Clifford Cheung , Mikhail P. Solon

We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses the diagrammatic effective field theory…

高能物理 - 理论 · 物理学 2024-02-28 Manoj K. Mandal , Pierpaolo Mastrolia , Hector O. Silva , Raj Patil , Jan Steinhoff

In matrix theory the effective action for graviton-graviton scattering is a double expansion in the relative velocity and inverse separation. We discuss the systematics of this expansion and subject matrix theory to a new test. Low energy…

高能物理 - 理论 · 物理学 2009-09-17 K. Becker , M. Becker , J. Polchinski , A. Tseytlin

Starting from the second post-Keplerian (2PK) Hamiltonian describing the conservative part of the two-body dynamics in massless scalar-tensor (ST) theories, we build an effective-one-body (EOB) Hamiltonian which is a $\nu$-deformation…

广义相对论与量子宇宙学 · 物理学 2018-02-07 Félix-Louis Julié

A summary is given of some results and perspectives of the hamiltonian ADM approach to 2+1 dimensional gravity. After recalling the classical results for closed universes in absence of matter we go over the the case in which matter is…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Pietro Menotti